Hello!

**Process pictured below**
When dividing, find how many times the first time in the divisor (2x + 3) fits into the first time of the dividend (2x³ + 5x² - 3x - 5). In this step, it fits x² times.
Multiply x² by the terms in the divisor and subtract from the dividend. Bring down the next term in the dividend to continue the process.
Repeat this step until you reach the last number. In this case, there was a remainder of 4. In order to write the remainder, you must express it over the divisor which makes it 4 / 2x + 3.
Given:
ratio of altitude height = 2/3
Required:
ratio of volume
Solution:
Assuming that the only difference that the cylinders has is the height, we can solve for the ratio of the volume.
The volume of a cylinder is equal to πr²×height.
ratio of volume = πr²×2/πr²×3
We cancel the pi and the r² since we assume that the cylinders have the same radius.By cancelling, we are left with:
ratio of volume = 2/3
4/6= 8/12
9/12
therefore 9/12 is greater